Let p(x,y)=3+ (a) For what values of c can p be a joint density function no matter what is? (v + c) on the region R given by 0≤x≤ (>0)-2≤ ≤ 2, with p(x, y) = 0 outside the re (b) Next, take c to be the endpoint of your inequality in (a). Find a value of as for which p(a, y) is a joint density function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let p(x, y) = 32+ (y+ c) on the region R given by 0≤x≤1 (1>0), -2 ≤ y ≤ 2, with p(x, y) = 0 outside the region R.
(a) For what values of c can p be a joint density function no matter what is?
(b) Next, take c to be the endpoint of your inequality in (a). Find a value of a, for which p(x, y) is a joint density function.
Transcribed Image Text:Let p(x, y) = 32+ (y+ c) on the region R given by 0≤x≤1 (1>0), -2 ≤ y ≤ 2, with p(x, y) = 0 outside the region R. (a) For what values of c can p be a joint density function no matter what is? (b) Next, take c to be the endpoint of your inequality in (a). Find a value of a, for which p(x, y) is a joint density function.
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